Search a number
-
+
2138145219 = 327253913367
BaseRepresentation
bin111111101110001…
…1000000111000011
312112000022000211200
41333130120013003
513334331121334
6552055512243
7103661635350
oct17734300703
95460260750
102138145219
119a7a22171
124b8088683
13280c853b2
14163d79627
15c7a9e799
hex7f7181c3

2138145219 has 24 divisors (see below), whose sum is σ = 3531290880. Its totient is φ = 1221224688.

The previous prime is 2138145209. The next prime is 2138145223. The reversal of 2138145219 is 9125418312.

2138145219 is a `hidden beast` number, since 21 + 381 + 45 + 219 = 666.

It is not a de Polignac number, because 2138145219 - 25 = 2138145187 is a prime.

It is a super-2 number, since 2×21381452192 = 9143329955065115922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2138145209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153274 + ... + 166640.

It is an arithmetic number, because the mean of its divisors is an integer number (147137120).

Almost surely, 22138145219 is an apocalyptic number.

2138145219 is a deficient number, since it is larger than the sum of its proper divisors (1393145661).

2138145219 is a wasteful number, since it uses less digits than its factorization.

2138145219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15919 (or 15916 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 2138145219 is about 46240.0823853072. The cubic root of 2138145219 is about 1288.2863327878.

The spelling of 2138145219 in words is "two billion, one hundred thirty-eight million, one hundred forty-five thousand, two hundred nineteen".

Divisors: 1 3 7 9 21 63 2539 7617 13367 17773 22851 40101 53319 93569 120303 159957 280707 842121 33938813 101816439 237571691 305449317 712715073 2138145219